125618338220112 has 60 divisors (see below), whose sum is σ = 351609093818164. Its totient is φ = 41866560046080.

The previous prime is 125618338220051. The next prime is 125618338220129. The reversal of 125618338220112 is 211022833816521.

125618338220112 is a `hidden beast` number, since 1 + 2 + 5 + 61 + 8 + 3 + 382 + 201 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83975890234896 + 41642447985216 = 9163836^2 + 6453096^2 .

It is a super-2 number, since 2×125618338220112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63812089 + ... + 65751192.

Almost surely, 2^{125618338220112} is an apocalyptic number.

125618338220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125618338220112 is an abundant number, since it is smaller than the sum of its proper divisors (225990755598052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125618338220112 is a wasteful number, since it uses less digits than its factorization.

125618338220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129570028 (or 129570019 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 125618338220112 in words is "one hundred twenty-five trillion, six hundred eighteen billion, three hundred thirty-eight million, two hundred twenty thousand, one hundred twelve".